Abstract

Lorentz and CPT symmetry violaton is a predicted phenomenon of Planck–scale physics. Various types of data are analyzed to search for Lorentz violation under the Standard–Model Extension (SME) framework, including neutrino oscillation data. MiniBooNE is a short–baseline neutrino oscillation experiment at Fermilab. The measured excesses from MiniBooNE cannot be reconciled within the neutrino Standard Model (vSM); thus it might be a signal of new physics, such as Lorentz violation. We have analyzed the sidereal time dependence of MiniBooNE data for signals of the possible sidereal time dependence of the ocillation signals. we find that the ve appearance data prefer a sidereal time–independent solution, and the v̄e appearance data slightly prefer a sidereal time–dependent solution, however, the statistical significance is not high to claim the discovery. Limits of order 10−20 GeV are placed on combinations of SME coefficients.

Highlights

  • Violation of Lorentz invariance and CPT symmetry is a predicted phenomenon of Planck-scale physics

  • Since the fit is dominated by the (C)eμ parameter, both three- and five-parameter fit solutions have small time-dependent amplitudes and look like the flat solution

  • Neutrino oscillation is a natural interferometer, and the sensitivity to Lorentz violation is comparable with precise optical experiments

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Summary

Lorentz-violating neutrino oscillations

Once we have a suitable formalism, such as the SME, we are ready to write down physical observables. It is possible to “mimic” neutrino mass-like energy dependence (E−1) using Lorentz violating terms only.[17,18,19,20] There is a chance that such types of models could be correct, because we currently have some tensions in the world neutrino oscillation data For this purpose, it would be helpful to show the phase space of neutrino oscillations in a model-independent way. Els are consistent with current data,a but outside of these energy ranges they have completely different dependencies These alternative models are interesting because they have a chance to reproduce short-baseline anomalies, such as the MiniBooNE oscillation signals,[24,25] which we discuss . The consequent muon neutrinos (muon antineutrinos) are a wideband beams peaked in around 800 (600) MeV

MiniBooNE detector
Events in detector
Time dependent systematics
Unbinned likelihood fit
Fit result of neutrino mode data
Fit result of antineutrino mode data
Summary of the fit
Conclusion
Full Text
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